How many gold atoms are in 112 grams of gold?
Chemistry · High School · Thu Feb 04 2021
Answered on
To determine the number of gold atoms in 112 grams of gold, we will need to use Avogadro's number and the atomic mass of gold.
First, we need to know the atomic mass of gold (Au). The atomic mass of gold is approximately 197 grams per mole.
We can now use this information to calculate the number of moles in 112 grams of gold:
Number of moles = mass of gold (g) / atomic mass of gold (g/mol) Number of moles = 112 g / 197 g/mol ≈ 0.568 moles
Now, using Avogadro's number, which is 6.022 x 10^23 atoms per mole, we can find the number of atoms:
Number of atoms = number of moles x Avogadro's number Number of atoms ≈ 0.568 moles x 6.022 x 10^23 atoms/mole
Let's do the math:
Number of atoms ≈ 0.568 x 6.022 x 10^23 Number of atoms ≈ 3.420496 x 10^23 atoms
So, there are approximately 3.42 x 10^23 gold atoms in 112 grams of gold.